PROBLEM (2) (Other Regarding Preferences) For the bargaining game in In-Class Exercises Chapters 10- 11 Problem (3), find all the pure Nash Equilibria (if any) assuming the players have the following utility functions over the final money allocation where players 1 and 2 get $x and $y, respectively: a) u1 (x, y) = Vx - vy, uz (x, y) = vy-Vx, b) uj (x, y) = Vx - 0.5vy, uz (x, y) = vy - 0.5vx c) u1 (x, y) = 2x+y, u2(x,y) = 2y +x, d) uj (x, y) = y, u2(X, y) = xPROBLEM (3) (Bargaining and Other-Regarding Preferences) There is $10 in a pot. Players A and B can simultaneously announce x and y dollars respectively as their claims from the pot (they don't have to be whole dollars, any real number is okay). If the claims are compatible, that is x+y